Matrix: HB/494_bus

Description: S ADMITTANCE MATRIX 494 BUS POWER SYSTEM, D.J.TYLAVSKY, JULY 1985.

HB/494_bus graph
(undirected graph drawing)


HB/494_bus

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  • Matrix group: HB
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  • download as a MATLAB mat-file, file size: 13 KB. Use UFget(2) or UFget('HB/494_bus') in MATLAB.
  • download in Matrix Market format, file size: 8 KB.
  • download in Rutherford/Boeing format, file size: 9 KB.

    Matrix properties
    number of rows494
    number of columns494
    nonzeros1,666
    structural full rank?yes
    structural rank494
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorD. Tylavsky
    editorI. Duff, R. Grimes, J. Lewis
    date1985
    kindpower network problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,414
    Cholesky flop count4.8e+03
    nnz(L+U), no partial pivoting, with AMD2,334
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,776
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,446

    SVD-based statistics:
    norm(A)30005.1
    min(svd(A))0.0124224
    cond(A)2.41541e+06
    rank(A)494
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;
    status:ok

    HB/494_bus svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.